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Foundations of analysis

By: Contributor(s): Material type: TextTextPublication details: Dover Publication 2008 New YorkEdition: 2ndDescription: ix, 427 pISBN:
  • 9780486462967
Subject(s): DDC classification:
  • 515  B3F6
Summary: This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems. Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis. http://store.doverpublications.com/048646296x.html
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1371 (0 Floor, East Wing) Non-fiction General Stacks 515 B3F6 (Browse shelf(Opens below)) Available 197709

Table of Contents:
Preface
1. The Real Number System
2. Functions, Limits, and Continuity
3. Differentiation and Integration
4. Sequences and Series
5. Calculus in Two Dimensions
6. Line Integrals and Green's Theorem
7. Complex Analysis
Bibliography
Symbol Index
Index.

This introduction to basic analysis presents a careful development of the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed as a first encounter with rigorous, formal mathematics for students with one year of calculus, the work features extended discussions of key ideas and detailed proofs of difficult theorems.
Authors David F. Belding and Kevin J. Mitchell are Professors of Math at Hobart and William Smith Colleges in Geneva, New York. Their approach emphasizes the connections between ideas, rather than rote, computational aspects of calculus. Their two-part treatment begins with the real number system and covers functions, limits, and continuity, as well as differentiation and integration and aspects of sequences and series. The second part explores calculus in two dimensions in addition to line integrals and Green's theorem. The text concludes with a concise survey of complex analysis.

http://store.doverpublications.com/048646296x.html

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